Abstract
The Read-Rezayi (RR) parafermion states form a series of exotic non-Abelian fractional quantum Hall (FQH) states at filling . Computationally, the wave functions of these states are prohibitively expensive to generate for large systems. We introduce a series of parton states, denoted , and show that they lie in the same universality classes as the particle-hole-conjugate RR (“anti-RR”) states. Our analytical results imply that a coset conformal field theory describes the edge excitations of the state, suggesting nontrivial dualities with respect to previously known descriptions. The parton construction allows wave functions in anti-RR phases to be generated for hundreds of particles. We further propose the parton sequence , with , to describe the FQH states observed at , , and .
- Received 11 February 2019
DOI:https://doi.org/10.1103/PhysRevB.99.241108
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